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82344948 = 22377113807
BaseRepresentation
bin1001110100001…
…11101111110100
312201221120000220
410322013233310
5132040014243
612100534340
72016630510
oct472075764
9181846026
1082344948
1142532a84
12236b13b0
13140a182a
14ad17140
157368783
hex4e87bf4

82344948 has 48 divisors (see below), whose sum is σ = 222695424. Its totient is φ = 23194080.

The previous prime is 82344919. The next prime is 82344961. The reversal of 82344948 is 84944328.

It is a super-2 number, since 2×823449482 = 13561380922245408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (4639488).

Almost surely, 282344948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82344948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111347712).

82344948 is an abundant number, since it is smaller than the sum of its proper divisors (140350476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82344948 is a wasteful number, since it uses less digits than its factorization.

82344948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892 (or 13890 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 82344948 is about 9074.4117164696. The cubic root of 82344948 is about 435.0564915404.

The spelling of 82344948 in words is "eighty-two million, three hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 13807 27614 41421 55228 82842 96649 165684 193298 289947 386596 579894 980297 1159788 1960594 2940891 3921188 5881782 6862079 11763564 13724158 20586237 27448316 41172474 82344948